Question

Show that 0.33… can be written as p/q form where p and q are integers and q ≠0​

Answer 1

Answer:

here is the correct answer

Step-by-step explanation:

• 0.33333333
• p/q=?

let x = 0.333

Multiply the whole equation by 10

10x=3.333

Subtract new equation by previous equation

L.H.S

10x-x=9x

R.H.S

3.33333... - 0.3333333...

=3

We get the equation

9x=3

x=3/9

x=1/3

0.333333... = 1/3

hence, 0.3333... can be written in the form of p/q

Answer 2

Answer:

x=0.33

10x = 10×(0.33)

10c = 3.33

10x - x = 0.33

9x = 0.33

x = 3/9